Erratum: Mixed convection in a partially and differentially heated cavity − a finite volume complete flux analysis

It has come to the attention of the publisher that article Rathish Kumar, B.V., and Pandey, C. (2025), “Mixed convection in a partially and differentially heated cavity − a finite volume complete flux analysis”. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 35 No. 8 pp. 2788–2812, Link to the cited article, had errors in several equations with incorrect brackets/parentheses, overlapping numbers, extra symbol within the mathematical and inline equations which is now corrected.The table below provides details of the affected equations which have now been corrected in the PDF:On page 2791, the inline incorrect equation fu=f1ue1+f2ue2,ψfv=f1ve1+f2ve2,ψfθ=f1θe1+f2θe2,, f1u=u2−Pr∂u∂x),ψf1v=uv−1Re∂v∂x),ψf1θ=(uθ−1RePr∂θ∂x) has been corrected.On page 2792, the inline incorrect equation Ωj,k+1/2v⋅u˙j+1/2,k,ψv˙j,k+1/2,, Ωj+1/2,ku,ψΩj,k+1/2v, F1j+1,ku,F2j,k+1v,ψ¯e has been corrected.On page 2795, the inline incorrect equation B(z)−B(−z)=−z,ψ and B(z)+B(−z)=zez+1ez−1. has been corrected.On page 2796, the inline incorrect equation F1j+1,ku=−1ReΔx−Pu∗u←j+1+Δx2uj+1′Pu∗ePu′+1eP+−1−Δx28P∗u←j+1′′+O(Δx)3, F1j+1,ku=uj+12−1Reuj+1−1ReA(P∗)u′j+1+O(Δx)2. has been corrected.On page 2797, the inline incorrect equation C(P←∗)=ep∗←2−P∗←2−1P∗(e←p∗−1)⋅ψ has been corrected.On page 2798, the inline incorrect equation 〈e−Λ,Su〉=−CuΔx2P∗2P∗2(e←P∗←/2+e−P∗←/2)−(e←∗←/2−e−P∗←/2), W(P∗)=eP∗←−P∗−1P∗(eP∗←−1)., v(xj,k+1/2)=vj,k+1/2,ψv(xj,k+3/2)=vj,k+3/2, has been corrected.On page 2800, the inline incorrect equation:fj+1h ≈ fj+1cd=−1ReΔx(uj+3/2k−uj+1/2k),ψ if P∗=←0, and fj+1h ≈ fj+1uw=−u∗←sign(P∗)−1uj+3/2,k−sign(P∗)+1uj+1/2,k,ψ if |P∗|→∞.ψif P∗=0,ψfj+1P=Δx8(δxp)j+3/2,k−(δxp)j+1/2,k, ψ and if |P∗|→∞,kfj+1P=Δx4 1−sign(P∗)(δxp)j+3/2,k−1+sign(P∗)(δxp)j+1/2,k.fj+1c=0,ψ if P∗=←0,ψ and fj+1c=−Δx2sign(P∗)Cj+1,ku,ψ if |P∗|→∞.ψ has been corrected.In Table 1, the second column head had incorrect equation Pu∗=←0 which has been corrected.On page 2801, the inline incorrect equation F2j+1/2,k−1/2u,ψ,f′=uv−1Reu′ =0,ψyk≤y≤yk+1,ψx=xj+1/2,ψu(xj+1/2,k)=uj+1/2,k,ψu(xj+1/2,k+1)=uj+1/2,k+1,ψF1j+1/2,k+1/2v,ψa, Pv∗=←,f′=uv−1Rev′ =0,ψxj≤x≤xj+1,ψy=yk+1/2,ψv(xj,k+1/2)=←vj,k+1/2,ψv(xj+1,k+1/2)=←vj+1,k+1/2,ψhas been corrected.On page 2802, the inline incorrect equation F1j+1,ku ≈ fj+1,k=fj+1,kh+fj+1,ki⋅ψ has been corrected.In Table 2, the row headings had incorrect equations OoC in ‖⋅‖L1,ψ‖⋅‖L2 has been corrected.This error was introduced during the article publication process, for which the publisher apologises.